Question

An airplane's speed in still air is 240 km/h. (a) If the pilot wishes the resultant motion of the plane to be due north when a 60 km/h wind is blowing the plane due east, in what direction should the plane be headed? (b) What will then be the resultant speed of the airplane over the ground?

Answer 1

Draw a triangle. If the plane's speed due north is v, then

60^2 + v^2 = 240
direction θ such that sinθ = 60/240